Mr Daniels Maths
The Midpoints and perpendicular to a line

Set 1

Set 2

Set 3

Q1) Find the slope of a line perpendicular to \(y = x\) [ m=-1]

Q1) Workout the equation of the perpendicular line passing through A(8,1) and B(13,26) at point B. [ L1 y = 5x -39 L2 y= -\(\frac{1}{5}\)x +28\(\frac{3}{5}\)]

Q1) Workout the equation of the perpendicular line passing through A(11,2) and B(13,10) at the midpoint of AB [ L1 y = 4x -42 (12,6) L2 y= -\(\frac{1}{4}\)x +9]

Q2) Find the slope of a line perpendicular to \(y = 4x -23\) [ m=-\(\frac{1}{4}\)]

Q2) Workout the equation of the perpendicular line passing through A(1,3) and B(6,23) at point B. [ L1 y = 4x -1 L2 y= -\(\frac{1}{4}\)x +24\(\frac{1}{2}\)]

Q2) Workout the equation of the perpendicular line passing through A(3,3) and B(7,23) at the midpoint of AB [ L1 y = 5x -12 (5,13) L2 y= -\(\frac{1}{5}\)x +14]

Q3) Find the slope of a line perpendicular to \(y = 3x -14\) [ m=-\(\frac{1}{3}\)]

Q3) Workout the equation of the perpendicular line passing through A(2,1) and B(7,11) at point B. [ L1 y = 2x -3 L2 y= -\(\frac{1}{2}\)x +14\(\frac{1}{2}\)]

Q3) Workout the equation of the perpendicular line passing through A(6,1) and B(10,17) at the midpoint of AB [ L1 y = 4x -23 (8,9) L2 y= -\(\frac{1}{4}\)x +11]

Q4) Find the slope of a line perpendicular to \(y = x -1\) [ m=-1]

Q4) Workout the equation of the perpendicular line passing through A(2,3) and B(7,13) at point B. [ L1 y = 2x -1 L2 y= -\(\frac{1}{2}\)x +16\(\frac{1}{2}\)]

Q4) Workout the equation of the perpendicular line passing through A(6,1) and B(8,15) at the midpoint of AB [ L1 y = 7x -41 (7,8) L2 y= -\(\frac{1}{7}\)x +9]

Q5) Find the slope of a line perpendicular to \(y = 3x -3\) [ m=-\(\frac{1}{3}\)]

Q5) Workout the equation of the perpendicular line passing through A(6,1) and B(8,21) at point B. [ L1 y = 10x -59 L2 y= -\(\frac{1}{10}\)x +21\(\frac{4}{5}\)]

Q5) Workout the equation of the perpendicular line passing through A(4,4) and B(6,6) at the midpoint of AB [ L1 y = x +0 (5,5) L2 y= -x +10]

Q6) Find the slope of a line perpendicular to \(y = 2x + 1\) [ m=-\(\frac{1}{2}\)]

Q6) Workout the equation of the perpendicular line passing through A(2,5) and B(7,40) at point B. [ L1 y = 7x -9 L2 y= -\(\frac{1}{7}\)x +41]

Q6) Workout the equation of the perpendicular line passing through A(1,11) and B(5,15) at the midpoint of AB [ L1 y = x + 10 (3,13) L2 y= -x +16]

Q7) Find the slope of a line perpendicular to \(y = 2x -3\) [ m=-\(\frac{1}{2}\)]

Q7) Workout the equation of the perpendicular line passing through A(1,1) and B(5,33) at point B. [ L1 y = 8x -7 L2 y= -\(\frac{1}{8}\)x +33\(\frac{5}{8}\)]

Q7) Workout the equation of the perpendicular line passing through A(5,7) and B(7,11) at the midpoint of AB [ L1 y = 2x -3 (6,9) L2 y= -\(\frac{1}{2}\)x +12]

Q8) Find the slope of a line perpendicular to \(y = 3x -22\) [ m=-\(\frac{1}{3}\)]

Q8) Workout the equation of the perpendicular line passing through A(10,4) and B(13,13) at point B. [ L1 y = 3x -26 L2 y= -\(\frac{1}{3}\)x +17\(\frac{1}{3}\)]

Q8) Workout the equation of the perpendicular line passing through A(5,1) and B(7,5) at the midpoint of AB [ L1 y = 2x -9 (6,3) L2 y= -\(\frac{1}{2}\)x +6]

Q9) Find the slope of a line perpendicular to \(y = 4x -19\) [ m=-\(\frac{1}{4}\)]

Q9) Workout the equation of the perpendicular line passing through A(2,2) and B(7,47) at point B. [ L1 y = 9x -16 L2 y= -\(\frac{1}{9}\)x +47\(\frac{7}{9}\)]

Q9) Workout the equation of the perpendicular line passing through A(10,9) and B(14,21) at the midpoint of AB [ L1 y = 3x -21 (12,15) L2 y= -\(\frac{1}{3}\)x +19]

Q10) Find the slope of a line perpendicular to \(y = 2x -1\) [ m=-\(\frac{1}{2}\)]

Q10) Workout the equation of the perpendicular line passing through A(2,2) and B(6,34) at point B. [ L1 y = 8x -14 L2 y= -\(\frac{1}{8}\)x +34\(\frac{3}{4}\)]

Q10) Workout the equation of the perpendicular line passing through A(4,3) and B(8,11) at the midpoint of AB [ L1 y = 2x -5 (6,7) L2 y= -\(\frac{1}{2}\)x +10]